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A very simple solution would be creating links to the applications on the desktop and having the children open this folder to access the list.

Simple Drag'n'Drop from the Dash to the Desktop and forming a folder there should work.

Edit: As for using the launcher, a bookmark on nautilus, or having the aforementioned folder prominently in ~/ would lead to Launcher -> Home Folder -> Game Folder, which should be straightforward enough, as well, in most cases.

Thanks! Great! also after dragging and dropping the game's icon, right click it -> properties -> permissions tab -> set checkbox allow execution. This will use the specific game's icon.
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kroizNov 10 '12 at 21:15